2. FIELD OF THE INVENTION AND RELATED ART STATEMENT
[0001] The present invention relates to a dynamic damper for reducing the vibrations of
buildings or structures or the like. The present invention also relates to a method
for detecting malfunction of a dynamic damper which is used in buildings or the like.
[0002] As conventional dynamic dampers which are disposed in a building or the like and
in which an oscillating body is driven for reducing the oscillations and vibrations
of the building where this damper is placed, dynamic dampers have been known in which
an oscillating body 1 supported by wheels 42 on rails 41 is driven to reciprocate
using a cylinder type shaker 43 as shown in FIG. 9 or in which the rotation of a motor
44 is transformed into reciprocating linear motion using a rack 45a and a pinion 45b
as shown in FIG. 10.
[0003] Furthermore, as shown in FIG. 15, a conventional pendulum type dynamic damper is
characterized in that a oscillating body 63 is suspended from an outer frame 61 by
way of a plurality of cables or wires 66, and shock absorbers 64 as damping elements
is disposed horizontally between two sides of the oscillating body 63 and the outer
frame 61.
[0004] Also, a variety of methods, such as judging a disorder when two or three parallel
systems of control circuits transmit different signals, and giving instructions based
on decision by majority, have conventionally been known for detecting malfunction
of a dynamic damper.
[0005] The above-mentioned conventional dynamic dampers have the following problems.
[0006] In order to reduce vibrations in all horizontal directions, the oscillating body
has to be driven in two directions. The vibration reduction effect of the conventional
dynamic damper, however, is restricted to the direction of the rail and the rack used,
i.e., to a single direction.
[0007] In the conventional damper, such as the one shown in FIG. 15, because the damping
elements are attached to the side of the oscillating body whose amplitude of oscillation
is large, and because its required space has to include the size of the oscillating
body, its amplitude of oscillation, the length of the damping elements, and its stroke,
a large space is required for the disposition of the damping system. In addition,
the stroke of the damping elements has to be large.
[0008] Also, because the conventional pendulum type damper has a frequency which is determined
by the suspension length of the wires, if the natural frequency of a building is very
much different in two perpendicular directions, it has been difficult to adapt the
conventional damper to such a building.
[0009] Although there exist inverted pendulum type dynamic dampers in order to solve this
problem, because the trajectory of motion of the oscillating body is an arc, it has
been difficult to control the motion of the oscillating body in a horizontal plane,
for example, in the case of adapting it to an active dynamic damper.
[0010] Also, the conventional methods for detecting malfunction of a dynamic damper described
above has a problem of high costs.
[0011] An object of the present invention is to provide a dynamic damper which can cope
with building vibrations in any horizontal direction and which solves the above problems
associated with the conventional dynamic dampers.
[0012] Another object of the present invention is to provide an economical method for detecting
malfunction of a dynamic damper which does not cost too much and can be, if desired,
used only during inspection without permanent installation.
[0013] The present invention provides a dynamic damper which comprises an oscillating body
which is held to move horizontally with respect to a building whose vibration is to
be reduced, a plurality of ball screws which are arranged perpendicularly to each
other with a height difference among them and which have a nut portion on the side
of the oscillating body and a screw shaft engaging with said nut portion on the side
of the building, and motors which reciprocate the oscillating body according to the
period of vibration of the building by turning the ball screws.
[0014] The reciprocating motion of the oscillating body and the vibration of a building
can be synchronized because the nuts of the ball screws are disposed on the side of
the oscillating body which is held so as to move horizontally with respect to the
building, and screw shafts and a motor are disposed in the building side so that the
ball screws turn and the oscillating body reciprocates in keeping with the vibrational
period of the building. By shifting the phase between the vibration of the building
and the reciprocating motion of the oscillating body, the vibration of the building
is reduced. Vibrations in any direction within the plane can be reduced because a
plurality of the ball screws are arranged in perpendicular directions.
[0015] The present invention also provides a dynamic damper which comprises an oscillating
body which is held so as to move horizontally with respect to a building whose vibration
is to be reduced, ball screws which are arranged horizontally under the oscillating
body and whose screw shafts are fixed at their ends to the building and whose nuts
are supported by the oscillating body so that the nuts can be rotated by a motor and
so as to restrict the nuts' motion in their axial direction, and another set of ball
screws which are arranged horizontally so that the two sets of ball screws are arranged
perpendicularly as viewed from top and whose screw shafts are supported by the building
so that the shafts can be rotated by a motor and whose nuts are supported by the oscillating
body so as to restrict the nuts' rotation and motion in their axial direction with
respect to the oscillating body.
[0016] To the oscillating body which is held by a building so that it can move horizontally,
the ball screws are arranged horizontally in two perpendicular directions; the nuts
are supported so that their motion is restricted in their axial direction with respect
to the oscillating body; the screw shafts of one set of the ball screws are fixed
to the building and their nuts are held so as to be rotated by a motor; and the screw
shafts of the other set of ball screws are fixed to the building so that the screw
shafts are rotated by a motor. When the motors turn in correspondence with the vibration
of the building the oscillating body makes a reciprocating movement similar to the
vibration of the building. By synchronizing the motion of the oscillating body with
a phase shift of a half period, the vibrational energy of the building and the kinetic
energy of the oscillating body cancel each other out, and the vibration of the building
is reduced drastically.
[0017] Furthermore, the present invention provides another dynamic damper which comprises
a oscillating body which is suspended from an outer frame, a rod for connecting the
oscillating body and the upper portion of the outer frame without restricting the
motion of the oscillating body and without supporting the weight of the oscillating
body, and springs and damping elements which are disposed more or less horizontally
between the outer frame and the rod.
[0018] According to this dynamic damper of the present invention, the oscillating body which
is suspended from the outer frame is connected to an upper frame of the outer frame
by way of the rod without the rod's supporting the weight of the oscillating body
and without restricting the motion of the oscillating body. Thus damping effects are
achieved because of the damping elements and the springs connecting the oscillating
body and the rod to the outer frame.
[0019] Because the springs and the damping elements are disposed between the rod and the
outer frame, the required area (or the occupied space) can be reduced compared to
the case in which the damping elements are disposed between the side walls of the
oscillating body and the outer frame as in the conventional dynamic damper described
above. Also, the stroke of the damping elements etc. can be smaller compared to the
conventional dynamic damper, in which the damping elements are attached to the sides
of the oscillating body, and in which the operation of the damping elements is directly
linked with the motion of the oscillating body with respect to the outer frame. Thus
the designing and manufacture become easier.
[0020] In addition, because the springs are used as well as the damping elements, it is
possible to adapt the dynamic damper to buildings with different natural frequencies
by changing the stiffness of the springs.
[0021] Further, the oscillating body does not show rotational motion unlike an inverted
pendulum type dynamic damper, and its oscillational motion can be close to being linear.
This makes it easier to control the motion of the oscillating body in a horizontal
plane using, for example, active damping.
[0022] The present invention also provides a method for detecting malfunction of a dynamic
damper which comprises the steps of finding the correlation R
xy between the acceleration or velocity or displacement of the building whose vibration
is to be reduced and the driving force of the dynamic damper, and judging whether
or not malfunction has occurred based on whether the value of the above correlation
R
xy at a time-lag
s = 0 is on the positive or the negative side and/or based on the value of the time-lag
s which corresponds to a minimum of the correlation R
xy on the negative side.
[0023] According to this method of the present invention, it can be judged whether the dynamic
damper is functioning to reduce the vibration of the object building or it is rather
increasing the vibration of the object building due to disorders in computers or the
like.
4. BRIEF DESCRIPTION OF THE DRAWINGS
[0024]
FIG. 1 shows a first embodiment of the present invention; (a) is a sectional view
and (b) is a sectional plan view, viewed as indicated by the arrows b-b in (a);
FIG. 2 shows a second embodiment of the present invention in correspondence with FIG.
1(a);
FIG. 3 shows a third embodiment of the present invention which corresponds to FIG.
1(a); (b) is a sectional plan view, viewed as indicated by the arrows b-b in (a);
FIG. 4 shows a fourth embodiment of the present invention in correspondence with FIG.
1(a);
FIG. 5 shows a fifth embodiment of the present invention in correspondence with to
FIG. 1(b);
FIG. 6 shows a sixth embodiment of the present invention in correspondence with FIG.
1(b);
FIG. 7 shows a seventh embodiment of the present invention in correspondence with
FIG. 3(a);
FIG. 8 shows an eighth embodiment of the present invention; (a) is its sectional view,
and (b) is its lower plan view;
FIG. 9 shows a side view of a conventional example;
FIG. 10 shows a side view of another conventional example;
FIG. 11 shows a ninth embodiment of the dynamic damper of the present invention;
FIG. 12 shows a plan view of this embodiment;
FIG. 13 shows the amplitudes and strokes of the oscillating body and the shock absorbers
and the like;
FIG. 14 shows the effect of this embodiment on the occupied space;
FIG. 15 shows a conventional pendulum type dynamic damper;
FIG. 16 shows a normal relation between the acceleration of the building and the motor
torque which is an application of the present invention to the buffeting vibration
of a building due to the variation of wind velocity;
FIG. 17 shows the case in which the performance of the dynamic damper is somewhat
degraded; and
FIG. 18 shows an example of abnormal operation of the dynamic damper.
5. DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS
[0025] Referring to FIG. 1, a first embodiment of the present invention will be explained.
[0026] In this drawing, the oscillating body 1 which is suspended from a building 01 by
cables 1a and 1b in the manner of a multistage pendulum; and a hole is bored on the
bottom of the oscillating body 1; and a sliding member 9 is placed in the bored hole
1c. The bored hole 1c may also penetrate the oscillating body 1, if desired. A material
with small friction coefficients or a slide shoe 11 is disposed at the slide mechanism
between the oscillating body 1 and the sliding jig 9. The lower end of the sliding
jig 9 is connected to a slider 2 through a universal joint or a ball joint 10. Beams
3 penetrate the slider 2 with an offset in the vertical direction so as to avoid each
other and are arranged perpendicularly in a horizontal plane (as viewed from top).
A material with small friction coefficients or a slide shoe 11 is also disposed at
the sliding portions between the slider 2 and the beams 3. The nuts 4b of the ball
screws 4 are attached to both ends of each beam 3, and the screw shafts 4a of the
ball screws penetrate through and engage with the nuts. The screw shafts 4a of the
ball screws 4 are supported by the building side through bearings 5. Gears 7 are disposed
at one end of the screw shafts 4a and are in engagement with gears 7 disposed on a
connection shaft 8. The connection shaft 8 is directly connected to a motor 6 so as
to rotate.
[0027] When the connection shaft 8 is driven by the motor 6 following instructions from
a computer or a control device (not shown), the ball screws 4 are turned through the
gears 7, and the nuts 4b in engagement with the ball screws 4 move in the direction
of the ball screw 4. At the same time, the beam 3 attached to the nuts 4b moves the
slider 2, and in turn the slider 2 moves the oscillating body 1 through the universal
or ball joint 10 and the sliding jig 9. This movement of the oscillating body is controlled
to agree with the period of the building vibration with a phase shift of a half period.
As a result, the energy of the reciprocating motion of the oscillating body cancels
cut the vibrational energy of the building and thus reduces the building vibration.
In this embodiment of the present invention, because it is suspended as a multistage
pendulum, the oscillating body 1 moves up and down slightly as it moves in horizontal
directions. Such vertical (up and down) motion is absorbed by the vertical sliding
of the sliding jig 9. Also, manufacturing errors of the multistage pendulum or the
like may cause the rotational motion of the oscillating body 1 as it moves horizontally.
This rotation can be absorbed by the universal or ball joint 10 at the lower end of
the sliding jig 9.
[0028] Also, the drive in the two perpendicular directions has the same effects in all directions
within the plane and functions in the same way because the slider 2 and the beams
3 slide in the respectable perpendicular directions.
[0029] FIG. 2 shows a second embodiment of the present invention in which the sliding jig
9 in FIG. 1(a) is attached to the bottom side of the oscillating body 1. The sliding
jig 9 is attached to the oscillating body 1 with a material having small friction
coefficients or a slide shoe 11 and a cylindrical metal piece 12 to hold it. In this
embodiment, the slider 2 is connected to the universal or ball joint 10 at the lower
end of the sliding jig 9 through a safety device 13 which breaks under certain load.
When abnormal loading occurs due to malfunction or some disorders, the oscillating
body 1 is cut off from the slider 2, so that the driving system is protected. This
safety device 13 can also be placed between the metal piece 12 and the oscillating
body 1. According to this embodiment, the bored hole 1c shown in FIG. 1(a) is not
necessary, and the manufacturing therefore becomes advantageously simpler.
[0030] FIG. 3 shows a third embodiment of the present invention in which the oscillating
body 1 in FIG. 1(a) is directly connected to the slider 2, and the vertical (up and
down) motion and the inclination of the oscillating body 1 can be absorbed by vertical
sliding mechanisms disposed between the ends of beams 3 and the nut portion 4b of
the ball screws 4. Numeral 14 indicates a slide guide which is a part of the sliding
mechanism, and numeral 15 indicates a rail in the sliding mechanism. Numeral 20 indicates
a slide for absorbing variations in the length of the beam 3 which occur when the
beam 3 inclines along with the inclination of the oscillating body 1. A plurality
of the slide guides 14 and the rails 15 can also be disposed at each end of the beam
3.
[0031] FIG. 4 shows a fourth embodiment of the present invention in which the slider 2 does
not slide directly around the beams 3 as in FIG. 1(a); instead, a slide guide 14 attached
to the slider 2 slides on a rail 15 attached to the beam 3. In this embodiment, because
the beam 3 does not penetrate the slider 2 and is on the outside of the slider 2,
the beam 3 can be made larger in the case where large driving forces are required.
Also, a plurality of slide guides 14 and rails 15 can be attached for each driving
direction.
[0032] FIG. 5 shows a fifth embodiment of the present invention in which two motors 6 are
used to drive the ball screws 4 in FIG. 1(b) for each direction. In this embodiment,
the motors 6 drive the ball screw 4 through a speed increasing (or reducing) device
16 and through a torque limiter 17 which slips with excessive torques for protecting
the driving system. Also, the connection shaft 8 can be eliminated if the ball screws
4 on the two sides are synchronized sufficiently with each other. Furthermore, the
number of the motors 6 can also be increased further for a plurality of motor to drive
one ball screw 4.
[0033] FIG. 6 shows a sixth embodiment of the present invention in which two sets of the
nuts are disposed at only one end of the beams for each driving direction instead
of disposing one set on each end of the beam 3 as in FIG. 1(b). According to this
embodiment, the number of the screw shafts can be reduced.
[0034] FIG. 7 shows a seventh embodiment of the present invention in which, instead of being
suspended in the manner of a multistage pendulum, the oscillating body 1 in FIG. 3(a)
is placed on a base 19 fixed to a building by way of balls 18 so that the body can
reciprocate in any direction in a horizontal plane. According to this embodiment,
the construction can be advantageously simpler.
[0035] We have described the seven embodiments in which the oscillating body 1 is suspended
by cables 1a and 1b as a multistage pendulum, or it is placed on the balls 18. The
method of holding the oscillating body 1, however, is by no means restricted to the
above two examples of suspension. Any means which does not go against the objects
of the present invention can be used as well.
[0036] As we have seen above, according to the first to seventh embodiments of the present
invention, the oscillating body 1 can be driven in a reciprocating manner so as to
correspond to the vibration of the building in any horizontal direction. By synchronizing
the motion of the oscillating body with the building vibration with a suitable phase
shift, the vibrational energy of the building can be cancelled by the input energy,
so that building vibrations can advantageously be reduced.
[0037] An eighth embodiment of the present invention will now be explained, referring to
FIG. 8. In FIG. 8, (a) is a vertical sectional view of the eighth embodiment of the
present invention, and (b) is a lower plan view of (a).
[0038] In FIG. 8, the oscillating body 1 which is suspended as a multistage pendulum by
cables 1a and 1b from a building 01 makes large amplitude reciprocating motions in
horizontal directions, and it also moves slightly in the vertical direction. Thus
a slide shoe 11 is disposed between the oscillating body 1 and a sliding jig 9 for
a slider 21 which will be explained below, so that the sliding jig 9 can move vertically,
allowing for the vertical motion of the oscillating body 1. Also, a safety device
13 is attached to the sliding jig 9 through a universal joint or a ball joint 10,
so that the oscillating body can be cut off from the driving system in response to
abnormal loading which occurs when the oscillating body makes abnormal motion due
to malfunction or some other disorders. It is through this safety device 13 that a
slider 21 for movable connection to ball screws 25 etc. described below is attached.
[0039] A slide bar 22 penetrates the slider 21, and a slide shoe is provided in between
so that the slide bar 22 can slide smoothly. A ball bearing 23 is provided in the
hole at each end of the slide bar 22, and a bush 24 whose one end is a bevel gear
is inserted into the inner ring of each ball bearing 23. A nut 25b of the ball screw
25 is inserted inside the bush 24. This nut 25b is penetrated by and in engagement
with the screw shaft 25a of the ball screw 25 whose ends are fixed to the building
01 through support bases 35. The bevel gear of the bush 24 is driven to rotate by
a gear shaft 27 which is in turn driven by a mechanism including a pinion gear 32
which is powered by a motor 26 attached to the slide bar 22 within the same horizontal
plane. Thus the nut 25b rotates together with the bush 24, and the oscillating body
1 moves in the vertical (up and down) direction in FIG. 8(b). The gear shaft 27 is
supported by gear shaft bearings 33.
[0040] Another slider 28 is provided under the slider 21 as shown in FIG. 8(b). This slider
28 is provided for moving the oscillating body 1 in the direction perpendicular with
respect to the slider 21. A slide bar 29 is inserted through the slider 28 with a
slide shoe 11 between the slide bar 29 and the slider 28. The nut 30b of the ball
screw 30 is fixed to each end of the slide bar 29. This nut 30b is penetrated by and
in engagement with the screw shaft 30a of the ball screws 30 which are supported by
the building 01 by way of a bearing 34. The screw shafts 30a are driven to rotate
by a motor 31 which is fixed to the building 01 by some suitable means. As a result,
the nut 30b moves with the slide bar 29 and moves the oscillating body 1 in the left
and right direction in FIG. 8(b).
[0041] In regard to the ball screw 25, the nut 25b rotates with respect to the screw shaft
25a which is fixed. In regard to the ball screw 30, as the screw shaft 30a rotates
with respect to the nut 30b. Thus the oscillating body 1 moves in any direction which
is the vertical or the horizontal direction or an arbitrary combination of the vertical
and horizontal directions of FIG. 8(b).
[0042] By adjusting this direction of motion to the direction of vibration of the building
01, and by controlling the speed and the rotational direction of the motors 26, 31
using a control device which is not shown so that the period of motion of the oscillating
body coincides with the period of building vibration with a phase shift of a half
period, the vibrational energy of the building 01 is cancelled out by the kinetic
energy of the oscillating body 1, reducing the vibration of the building 01. Also,
the vertical displacements associated with the reciprocating motion (or pendulum motion)
of the oscillating body 1 are absorbed by the sliding jig 9 and the slide shoe 11
as explained above.
[0043] As we have described above, according to this embodiment, the oscillating body 1
can be moved as a pendulum in an arbitrary direction with the ball screws 25 and 30.
By synchronizing this motion with the vibration of the building 01 in the most suitable
manner, the vibration of the building in any direction can be advantageously reduced.
[0044] Also, the mechanisms described in the second to fifth embodiments as well as in the
seventh embodiment above can be used equally well in combination with this eighth
embodiment.
[0045] Because the oscillating body held so as to move in horizontal directions is driven
in two perpendicular directions by ball screws which are powered by motors, the oscillating
body can move in any direction, and building vibrations in any horizontal direction
can be reduced effectively.
[0046] Referring to FIGS. 11 to 14, we shall describe a ninth embodiment of the present
invention.
[0047] Numeral 51 indicates an outer frame comprising an upper frame 51a and a rectangular
pillar 51b. From the upper frame 51a of the outer frame 51, the oscillating body 53
with a rectangular horizontal section is suspended by four wires 56. The center portion
of the upper side of the oscillating body 53 and the upper frame 51a of the outer
frame are connected to each other by way of the rod 52. The upper and lower ends of
the rod 52 are connected to the upper frame 51a of the outer frame and to the upper
side of the oscillating body 53, respectively, by way of joints 57a, 57b which do
not restrict the motion and rotation of the oscillating body 53 in any direction and
which do not support the weight of the oscillating body 53. Four sets in total of
the shock absorbers 54 as damping elements and the springs 55 are disposed horizontally
in two perpendicular directions. Both ends of each shock absorber 54 and each spring
55 are connected to the rod 52 and the pillar 51b of the outer frame through joints
58a, 58b, respectively. Also, of the springs 55, the two sets of the springs 55a,
55b arranged perpendicularly to each other can be adjusted independently of each other,
so that they can correspond to the different natural frequency of the respective direction.
[0048] In the embodiment of the present invention described above, because the shock absorbers
54 and the springs 55 are attached to the rod 52 which is connected to the center
of the oscillating body 53 while shock absorbers 54 are attached to the side of the
oscillating body in the conventional pendulum type dynamic damper, the occupied area
can be reduced. For comparison, the length
L of the outer frame of this embodiment and the length
L′ of the outer frame of the conventional pendulum type dynamic damper are shown in
FIGS. 14 and 15.
[0049] Also, in this embodiment, because the rod 52 does not restrict the motion of the
oscillating body 53 and connects the oscillating body 53 and the upper frame 51a of
the outer frame without supporting the weight of the oscillating body 53, the damping
effects by the shock absorbers 54 and the springs 55 can be achieved effectively.
Further, because as shown in FIG. 13, the total displacement (twice the amplitude)
A′ of oscillation for the shock absorbers 54 and the springs 55 remains small compared
to the total displacement A of the oscillating body 53, the required strokes of the
shock absorbers 54 and the springs 55 can be smaller, and the design of these would
be easier.
[0050] In addition, according to this embodiment, by changing the stiffness of the springs
55 or changing the stiffness of the two sets of springs 55a, 55b arranged perpendicularly
to each other independently, it is possible to adapt to an object of a different natural
frequency or to an object having different natural frequencies with directionality.
[0051] Furthermore, the oscillating body 53 in this embodiment does not rotate unlike an
inverted pendulum and moves in a more or less linear fashion. Thus it is easier to
adapt to the dynamic control of the oscillating body 53 in a horizontal plane using
active dynamic dampers or the like.
[0052] Also, while in the above-described embodiment, four sets of shock absorbers and springs
are arranged in two perpendicular directions, other arrangements of springs and shock
absorbers are possible within the scope of the present invention. For example, only
two sets of shock absorbers and springs can be arranged in one direction, facing each
other.
[0053] Because the oscillating body suspended from the outer frame is connected to the upper
frame of the outer frame by the rod without the rod's supporting the weight of the
oscillating body and without restricting the motion of the oscillating body, and because
the damping elements and the springs are disposed horizontally to connect the rod
and the outer frame, the present invention achieves the following effects.
(1) The area occupied by the dynamic damper can be reduced.
(2) The strokes of the damping elements and the springs can be reduced, making the
designing and the manufacture of a dynamic damper easier.
(3) By changing the stiffness of the springs, the dynamic damper of the present invention
can be adapted to objects with different natural frequencies.
(4) The oscillating body does not rotate, and the dynamic control of the motion of
the oscillating body becomes easily possible in a horizontal plane.
[0054] Referring to FIGS. 16 to 18, we will describe an embodiment of the method of the
present invention adapted to the damping of buffeting vibration of a building due
to variations in wind velocity. FIG. 16 is a graph showing a normal relation of the
correlation R
xy between the acceleration of the building and the torque of the motor, FIG. 17 is
a graph showing the case in which the damping performance is somewhat degraded, and
FIG. 18 is a graph showing the case in which the dynamic damper is malfunctioning.
[0055] Here, the correlation R
xy can be obtained by the following equation:

where
X(t) is the acceleration of the building, and
Y(t) is the torque of the motor.
[0056] In FIG. 16, when the dynamic damper is functioning properly, the maximum response
of acceleration of the building is reduced to 7.2 gal from 17.0 gal without damping.
[0057] If the performance of the dynamic damper is degraded somewhat as shown in FIG. 17,
the maximum acceleration of the building is 11.1 gal.
[0058] If the dynamic damper functions as a shaker due to some malfunction of the dynamic
damper system, the maximum value of building acceleration is 19.1 gal. This means
an increase over 17.0 gal without damping.
[0059] If we look at the correlation R
xy at
s (time-lag) = 0, R
xy ≈ -0.75 in FIG. 16, R
xy ≈ -0.15 in FIG. 17, R
xy ≈ 0.5 in FIG. 18. When the correlation at
s = 0 is on the positive side, the condition of the apparatus can be judged to have
become abnormal.
[0060] Also, if we look at the values of time-lag
s at which the correlation R
xy takes negative minimum values,
s = 0.0 in FIG. 16,
s = -1.0 sec in FIG. 17,
s = -3.5 sec in FIG. 18. In these examples, if this
s is less than -1.5 to -2.0, it can be judged that some malfunction has occurred in
the apparatus.
[0061] A setup required in reducing into practice the method of present invention as described
above consists of a sensor for detecting the vibration of the building, a torque meter
for motors, and an analyzer. Thus it is not necessary to install these instruments
permanently. They can be attached at the time of inspection. Also, it is possible
to use one set of these instruments for a plurality of dynamic dampers, making inspection
more economical.
[0062] Furthermore, because the method of the present invention is totally independent of
the control apparatus, it has high reliability and is safe to use.
[0063] According to the method the present invention, the correlation R
xy between the acceleration or velocity or displacement of a building whose vibration
is to be reduced and the driving force of a dynamic damper is obtained, and whether
or not malfunction has occurred is judged based on whether the value of the above
correlation R
xy at
s = 0 is on the positive or the negative side and/or based on the value of the time-lag
s corresponding to the minimum of R
xy on the negative side. Therefore, the method of the present invention is economical
and can be, if desired, reduced to working without permanent installment. Thus the
present invention is very useful in industrial applications.